Relationship between Frequency and Standing Waveforms.

[Kamuin]

Hi all, just a quick problem that I really cannot get my head around, any help would be appreciated.

Homework Statement

State, in detail, how the frequency affects the number of antinodes produced on string with a fixed tension, density and length.

Homework Equations

The frequency of a specific standing wave formation is: f_n=(N/2L)(√T/µ), where f is frequency, N is number of antinodes, L is medium length, T is tension in the medium, and µ is the medium density. However I don't think many answers can be found within this equation, as more of this question is about theory rather than results.

The Attempt at a Solution

This question does not want answers in terms of any other variables, it wants to know in what way the frequency affects the various waveforms. I was thinking that a higher frequency produces more antinodes, possible because there are more points of interference produced, and more interference points means more antinodes, however I am not sure this is a complex enough explanation.

Thankyou all in advance, I hope you can help.

 

[Bryson]

For increasing frequency, the number of nodes will increase as well. Draw several diagrams, double the frequency each time. Then you can deduce how frequency affects the nodes and antinodes.